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42895987983360 = 210355613171783
BaseRepresentation
bin10011100000011100000000…
…01000000100010000000000
312121212211001011020101100000
421300032000020010100000
521110301440410431420
6231122051141200000
712015063366536601
oct1160160010042000
9177784034211300
1042895987983360
11127390a4a14216
124989643700000
131ac20c7349a95
14a8426958dda8
154e5c52dca690
hex270380204400

42895987983360 has 1056 divisors, whose sum is σ = 157247640006912. Its totient is φ = 11209622814720.

The previous prime is 42895987983347. The next prime is 42895987983367. The reversal of 42895987983360 is 6338978959824.

42895987983360 is a `hidden beast` number, since 4 + 2 + 8 + 95 + 9 + 87 + 98 + 3 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 42895987983360.

It is not an unprimeable number, because it can be changed into a prime (42895987983367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24058321029 + ... + 24058322811.

Almost surely, 242895987983360 is an apocalyptic number.

42895987983360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42895987983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78623820003456).

42895987983360 is an abundant number, since it is smaller than the sum of its proper divisors (114351652023552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42895987983360 is a wasteful number, since it uses less digits than its factorization.

42895987983360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 5643509760, while the sum is 81.

The spelling of 42895987983360 in words is "forty-two trillion, eight hundred ninety-five billion, nine hundred eighty-seven million, nine hundred eighty-three thousand, three hundred sixty".